53272800 has 324 divisors, whose sum is σ = 219970296. Its totient is φ = 12096000.

The previous prime is 53272799. The next prime is 53272847. The reversal of 53272800 is 827235.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352725 + ... + 352875.

Almost surely, 2^53272800 is an apocalyptic number.

53272800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109985148).

53272800 is an abundant number, since it is smaller than the sum of its proper divisors (166697496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53272800 is a wasteful number, since it uses less digits than its factorization.

53272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53272800 is about 7298.8218227328. The cubic root of 53272800 is about 376.2719475209.

The spelling of 53272800 in words is "fifty-three million, two hundred seventy-two thousand, eight hundred".